### Abstract

We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane.

Original language | English |
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Pages (from-to) | 1-16 |

Number of pages | 16 |

Journal | Communications in Mathematical Physics |

Volume | 43 |

Issue number | 1 |

DOIs | |

Publication status | Published - Feb 1975 |

Externally published | Yes |